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Finding the Fourth Proportional to 56,584.41, 78,092.42 and 31,433.91

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Solution

The fourth proportional to 56,584.41, 78,092.42 and 31,433.91 is: 43,382.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,584.41 : 78,092.42 = 31,433.91 : x
  2. Step 2: Convert to fraction form
    56,584.41/78,092.42 = 31,433.91/x
  3. Step 3: Cross multiply
    56,584.41x = 78,092.42 × 31,433.91
  4. Step 4: Simplify right side
    56,584.41x = 2,454,749,944.79
  5. Step 5: Solve for x
    x = 2,454,749,944.79/56,584.41
  6. Step 6: Final answer
    x = 43,382.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.